few_shots: Example:
Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Mathematical concept/skill options: 
A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
B. Understand ratio concepts and use ratio reasoning to solve problems.


Thought: This problem focuses on the ratio between two ingredients. Students do not have to analyze proportional relationships in-depth, which is reserved for a higher grade level, but rather use ratios to find missing values.
Answer: B

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_000972

6
options: Interpret expressions for functions in terms of the situation they model.

Understand the concept of a function and use function notation.

Build a function that models a relationship between two quantities.

Use functions to model relationships between quantities.

Build new functions from existing functions.

Prove and apply trigonometric identities.

Extend the domain of trigonometric functions using the unit circle.

Model periodic phenomena with trigonometric functions.

Interpret functions that arise in applications in terms of the context.

Construct and compare linear and exponential models and solve problems.

Analyze functions using different representations.

Define, evaluate, and compare functions.
problem_activity: Problem 1
A piecewise function is shown below.
[IMG]
Describe:
where the graph changes behavior
the domain that represents each behavior of the graph
the different rates of change
what happens at
$${ x=1}$$
how the graph would change if
$${ f(x)=3}$$
for
$${-3≤x≤1}$$
Problem 2
Graph the following piecewise function.
[IMG]
Problem 3
Write a piecewise function to represent the graph below. Use function notation.
[IMG]


correct_option_index: 1

8

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